Find the surface area of the triangular prism shown below.
3.7 m
4 m
12 m
11 m
5 m

Answer:

Dilation factor is 2/3

Step-by-step explanation:

Look at both flat lines (M to S and M' to S') and find their lengths.

M to S = 9 units

M' to S' = 6 units

The triangle has gotten smaller so the dilation factor is a fraction

new/original = 6/9 = .66666666 or 2/3

Dilation factor is 2/3

Step-by-step explanation:

m∠1 = 180-100 = 80

m∠2 = 180-150 = 30

m∠3 = 180-(80+30) = 180 - 110 = 70

using the law of sine :

AC/sin(m∠2) = 5/sin(m∠3) ⇒ AC = sin(m∠2)*(5/sin(m∠3)) = sin(30)×(5÷sin(70))

=2.66044443119

CB/sin(m∠1) = 5/sin(m∠3) ⇒ CB = sin(m∠1)*(5/sin(m∠3)) ⇒ CB = sin(80)×(5÷sin(70)) = 5.240052604588

Answer:

[tex]\frac{1}{125}[/tex]

Step-by-step explanation:

The given expression is

[tex](5^{-2}) (5^{-1})[/tex]

The expression is about two powers with the same base, so we can use the power property of multiplication, which states that we must proceed we writing only one base and sum exponents

[tex](5^{-2}) (5^{-1})=5^{-2-1}=5^{-3}[/tex]

Then, we use the negative exponent property

[tex]5^{-3}=\frac{1}{5^{3} }[/tex]

Finally, we solve the power

[tex]\frac{1}{5^{3} }=\frac{1}{125}[/tex]

Therefore, the given expression is equivalen to [tex]\frac{1}{125}[/tex].

Answer:

the answer is C

Step-by-step explanation:

Answer:

77 units^2

Step-by-step explanation:

I'm going to call the red square A, green square B, blue square C.

A side of a square is the square root of the area.

The Pythagorean Theorem is A^2 + B^2 =C^2.

So in other words,  

33 + 44 = the side of square C^2.

33+44=77

One side of square C is √77.

Square this to get the area.

Square C's area is 77 units^2.

Answer:

The Answer is (2880+180π) in. cubed

Step-by-step explanation:

I got it right in Gradpoint

Answer:

-1/3

Step-by-step explanation:

I am assuming you mean 4/x + 17 = 5

Answer:

The speed at which the buss made the trip was 45 mph and the train was 57 mph.

Step-by-step explanation:

The average speed is given by:

speed = distance / time

Therefore we can manipulate it to give us the distance:

distance = speed*time

The time distance of each stage of his trip summed must be equal to the total distance of the trip. Since he made a trip in two legs, one by bus that lasted 3 h at a speed of "x" and one that lasted 5 hours at a speed of "x + 12". We have:

420 = 3*x + 5*(x + 12)

3*x + 5*(x + 12) = 420

3*x + 5*x + 60 = 420

8*x = 420 - 60

8*x = 360

x = 45 mph

The speed at which the buss made the trip was 45 mph and the train was 57 mph.

Answer:

45 mph

Step-by-step explanation:

Answer: 10*10*10*10*10

Step-by-step explanation:

Answer:

9. [tex]x=30, y=10\sqrt{3}[/tex]

11. [tex]x=5\sqrt{3}, y=10\sqrt{3}[/tex]

Step-by-step explanation:

9)

[tex]\sin x=\dfrac{10}{20}\\x=\sin^{-1}\left( \dfrac{1}{2} \right)=30^{\circ}\\y=\sqrt{20^2-10^2}=\sqrt{400-100}=\sqrt{300}=10\sqrt{3}[/tex]

11)

[tex]\tan 60= \dfrac{15}{x}\\x=\dfrac{15}{\tan 60}=5\sqrt{3}\\y=\sqrt{(5\sqrt{3})^2+15^2}=\sqrt{75+225}=\sqrt{300}=10\sqrt{3}[/tex]

Hope this helps!

Answer:

9 for x..................

Answer:

Going from 1 to 7. The not functions are 2,4,6, and 7

Step-by-step explanation:

How you can determine if its a function is if all x values are different. Vertical line test.

Using the function concept, it is found that these following relations are not functions:

(1,3), (1,7), (5,11), (5,15), (9,19)

(2,4), (1,1),(0,0), (1,-1), (2,-4)

(1,3), (3,11), (3,7), (7,15), (9,19)

(1,3), (3,7), (5,11), (9,15), (9,19)

A similar problem is given at https://brainly.com/question/12463448

Answer:

P = 2·20 + 2·10

Step-by-step explanation:

there are 2 sides for width, and 2 sides for length, as easy as

Answer:

5

Step-by-step explanation:

32+29+34= 95 total shirts

95/6=15.8333 round down

If each group get 15 shirts you need 90 shirts (15*6=90)

and so you will have 5 left over (95-90=5)

Answer:

There will be 5 shirts that were left over

Answer:

58 times 0.17 which agrees with answer C in the given list of possible answers.

Step-by-step explanation:

Notice that 17% in math terms is 17/100 = 0.17

Now to find the 17% of the number 58, we need to multiply 58 by 17/100, which gives:

58 times 0.17

Answer:

  6.75

Step-by-step explanation:

The shaded area amounts to two congruent equilateral triangles. Each has a side length of 2(1 in)cos(30°) = √3 in.

The height of an equilateral triangle with side length √3 is ...

  height = (√3 in)sin(60°) = 3/2 in

Then the area of the two equilateral triangles is ...

  A = bh = (√3 in)(3/2 in) = 3√3/2 in^2

The square of the numerical value of the area is ...

  A^2 = ((3/2)(√3))^2 = 27/4 = 6.75

The square of the shaded area is 6.75.

Answer:

jamilla is not correct because she messed up. She is WRONG. and the reason is because she didnt add and divide properlly

Step-by-step explanation:

Answer: year 1948

Step-by-step explanation:

1900 is our t = 0

The population of Greenville can be written as:

G = 4000 + 100*t

the equation for Springfield can be written as:

S = 1000*(1.04)^t

we want to find the value of t that makes S(t) = G(t)

4000 + 100*t = 1000*(1.04)^t

(4000 + 100*t) = 1.04^t

4 + 0.1*t = 1.04^t

now, you can graph both of this equations (left side and right side) and see in wich value of t the graphs intersect eachother, or you also may use different values of t until the values are about the same for both sides, which is the thing i did with the equation:

4 = 1.04^t - 0.1*t

You will find that the correct value is t = 48

So we can assume that in year 1948 the populations will be about the same.

Answer:

3.636478334

Step-by-step explanation:

Answer:

-6/5   (This is Answer c)

Step-by-step explanation:

Re-writing this equation in standard form, we get:

25x^2 + 60x + 36 = 0.  The coefficients are a = 25, b = 60 and c = 36.

The discriminant, b^2 - 4ac, is 60^2 - 4(25)(36), or 3600 - 3600, or 0.

Because the discriminant is 0, we have two real, equal roots, corresponding to

       -b        -60

x  = ------ = ----------  = -6/5   (This is Answer c)

        2a       2(25)

Answer:

91.2

Step-by-step explanation:

If there is 57 ounces in 5 boxes and you divide 57 by 5 you'll get 11.4. After that you should times 11.4 by 8 to get 91.2 ounces

Answer:

91.2 ounces

Step-by-step explanation:

Let's make a proportion using this setup:

ounces/boxes=ounces/boxes

There are 57 ounces in 5 boxes, and x ounces in 8 boxes.

57 ounces/5 boxes= x ounces/8 boxes

57/5=x/8

Now we have to solve for x. x and 8 are being divided. To undo this, multiply both sides by 8, because multiplication is the opposite of division.

8*57/5=x/8*8

The 8s on the right will cancel, so we are left with:

8*57/5=x

8*11.4=x

91.2=x

There are 91.2 ounces in 8 boxes

Answer:

91 /125

Step-by-step explanation:

Answer:

It is not a linear function

Step-by-step explanation:

There is a one to one correspondence and this would pass the vertical line test

This is a function

However, the questions asks if it is a linear function, which would mean is it a straight line.

This curves, so it is not a linear function

i think it is 4

hope this helps

Answer:

81x4^ + 108x^3y^2 + 54x^2y^4 +12xy^6 +y^8

Step-by-step explanation:

Answer:

~47%

Step-by-step explanation:

18 / 38 = 0.47368421053 = ~0.47 = 47%

Answer:

-23

Step-by-step explanation:

x = -5 lies in the last piece

h(-5) = 4(-5) - 3

= -20 - 3

= -23

Step-by-step explanation:

Step 1:  Find which piece-wise function it is in

Equation 1 → x < -7

Let x = -5 → (-5) < -7 ← False

Equation 2 → -7 ≤ x < -5

Let x = -5 → -7 ≤ (-5) < -5 ← False

Equation 3 → x ≥ -5

Let x = -5 → (-5) ≥ -5 ← True

Step 2:  Find the value of h(-5)

[tex]h(-5) = 4x - 3[/tex]

[tex]h(-5) = 4(-5) - 3[/tex]

[tex]h(-5) = -20 - 3[/tex]

[tex]h(-5) = -23[/tex]

Answer:  [tex]h(-5) = -23[/tex]

Answer:

cos 30=0.860254038

sin 30=0.5

Step-by-step explanation:

use a calculator

Answer:

No

Step-by-step explanation:Figure B Is not a scale copy of Figure A because the line on the right for figure A  has only 5 squares And Square B has 10 Squares

:))

Answer:

no

Step-by-step explanation:

To be a scale copy the image has to be scale by the same amount in the x direction and the y direction

The size in the x direction did not change but the y direction did change so

Answer: 30

Step-by-step explanation:

simple

Answer:

Relative frequencies

First row

0.8125 ,0.1875 ,16

Second row

0.555 ,0.444 ,9

third row

18 , 7 ,  25

Step-by-step explanation:

Given data

               allowance        No allowance          total

Chores         13                   3                          16

No chores      5                   4                           9

Total              18                   7                            25

Relative frequencies

               allowance          No allowance                  total

Chores         [tex]\frac{13}{16} = 0.8125[/tex]     [tex]\frac{3}{16} = 0.1875[/tex]                       16

No chores      [tex]\frac{5}{9} = 0.555[/tex]      [tex]\frac{4}{9} = 0.444[/tex]                            9

Total              18                   7                                   25